What is the Least Common Multiple of 95200 and 95214?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 95200 and 95214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95200 and 95214, than apply into the LCM equation.

GCF(95200,95214) = 14
LCM(95200,95214) = ( 95200 × 95214) / 14
LCM(95200,95214) = 9064372800 / 14
LCM(95200,95214) = 647455200

Least Common Multiple (LCM) of 95200 and 95214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95200 and 95214. First we will calculate the prime factors of 95200 and 95214.

Prime Factorization of 95200

Prime Factorization of 95214

Now multiplying the highest exponent prime factors to calculate the LCM of 95200 and 95214.

LCM(95200,95214) = 2⁵ × 5² × 7¹ × 17¹ × 3¹ × 2267¹
LCM(95200,95214) = 647455200